A professor was interested in whether or not there was a difference in the number of hours a student works for those taking intro stats on campus or online at Academia University. She took a random sample of students from each method of course delivery this term and asked them how many hours they worked in the previous week. Two-Sample T-Test and CI Method Hi: population mean of On Campus Ha: population mean of Online Difference: 1 - Ha Equal variances are not assumed for this analysis. Descriptive Statistics Sample N Mean StDev SE Mean On Campus 25 19.8 12.6 25 Online 25 29.9 14.5 2.9 Estimation for Difference 95% Cl for Difference Difference -10.10 (-17.83,-2.37) Test Null hypothesis Ho: H1 - Ha = 0 Alternative hypothesis H,: H, - H2 2 0 T-Value DF P-Value -2.63 47 0.012Check, in the context of the question, the sample size assumption. Include in your answer the name of the condition you are checking. Note that the independent group assumption and independence assumption are met since we have random samples of students from each method of course delivery. And we need to check the sample size assumption since we do not know the shape of the distributions for the number of hours worked each week. 1 A Y B I E IEState the appropriate hypotheses (Ho and Ha) in symbols and define the parameters in context. 1 AY B E E PA Identify the test statistic and p-value from the Minitab output. t = p-value =Briefly assess the strength of the evidence. 1 AY B I State your conclusion in the context of the problem. 1 B I EThe 95% confidence interval is given on the output. If you were asked to calculate that interval, what are the degrees of freedom and t* you would use? OF = FComplete the interpretation of the confidence interval. If the assumptions are met and the distribution of hours worked are normal (or only slightly skewed), we are 95% confident that the number of hours worked for students who take intro stats on campus is between 2.37 and 17. students online, for the population of predicted mean at Academia University. averageComplete the interpretation of the confidence interval. If the assumptions are met and the distribution of hours worked are normal (or only slightly skewed), we are 95% confident that the number of hours worked for students who take intro stats on campus is between 2.37 and 17.83 hours students online, for the population of a University. lower than higher than different fromComplete the interpretation of the confidence interval. If the assumptions are met and the distribution of hours worked are normal (or only slightly skewed), we are 95% confident that the number of hours worked for students who take intro stats on campus is between 2.37 and 17.83 hours students online, for the population of at Academia University. the 50 intro stats students selected all intro stats students all studentsBased on the confidence interval, what can you say about the difference in number of hours worked? Explain briefly. 1 AY B I E What significance level are you assuming for your answer to the previous question [QUESTION 9]? Leave your answer as a decimal (NOT a percent). Answer:What type of error could you have made, Type I or Type II? Explain briefly. 1 B IE